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Breaking the Entanglement Barrier: Tensor Network Simulation of Quantum Transport.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-04-03 , DOI: 10.1103/physrevlett.124.137701
Marek M Rams 1 , Michael Zwolak 2
Affiliation  

The recognition that large classes of quantum many-body systems have limited entanglement in the ground and low-lying excited states led to dramatic advances in their numerical simulation via so-called tensor networks. However, global dynamics elevates many particles into excited states, and can lead to macroscopic entanglement and the failure of tensor networks. Here, we show that for quantum transport-one of the most important cases of this failure-the fundamental issue is the canonical basis in which the scenario is cast: When particles flow through an interface, they scatter, generating a "bit" of entanglement between spatial regions with each event. The frequency basis naturally captures that-in the long-time limit and in the absence of inelastic scattering-particles tend to flow from a state with one frequency to a state of identical frequency. Recognizing this natural structure yields a striking-potentially exponential in some cases-increase in simulation efficiency, greatly extending the attainable spatial and time scales, and broadening the scope of tensor network simulation to hitherto inaccessible classes of nonequilibrium many-body problems.

中文翻译:


打破纠缠障碍:量子传输的张量网络模拟。



人们认识到大类量子多体系统在基态和低激发态中的纠缠有限,从而通过所谓的张量网络在数值模拟方面取得了巨大进展。然而,全局动力学将许多粒子提升到激发态,并可能导致宏观纠缠和张量网络的故障。在这里,我们表明,对于量子传输(这种失败的最重要案例之一),根本问题是场景形成的规范基础:当粒子流过界面时,它们会分散,产生一点纠缠每个事件的空间区域之间。频率基础自然地捕捉到了——在长时间限制和没有非弹性散射的情况下——粒子倾向于从具有一个频率的状态流动到具有相同频率的状态。认识到这种自然结构可以显着提高模拟效率(在某些情况下可能呈指数级增长),极大地扩展可达到的空间和时间尺度,并将张量网络模拟的范围扩大到迄今为止无法访问的非平衡多体问题。
更新日期:2020-03-31
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